Classical ground states of spin lattices. (18th November 2022)

• Record Type: Journal Article
• Authors: Schmidt, Heinz-Jürgen; Richter, Johannes
• Is Part Of: Journal of physics. Volume 55:Number 46(2022)
• Publication Date: 2022-11-18
• Subjects: ground states -- classical spin lattices -- incommensurable ground states -- Luttinger–Tisza theory; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aca36d
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We present a generalization of the Luttinger–Tisza–Lyons–Kaplan theory of classical ground states of Bravais lattices with Heisenberg coupling to non-Bravais lattices. It consists of adding certain Lagrange parameters to the diagonal of the Fourier transformed coupling matrix analogous to the theory of the general ground state problem already published. This approach is illustrated by an application to a modified honeycomb lattice, which has exclusive three-dimensional ground states as well as a classical spin-liquid ground state for different values of the two coupling constants. Another example, the modified square lattice, shows that we can also obtain so-called incommensurable ground states by our method.